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Finding the Fourth Proportional to 39,096.64, 58,645.02 and 9,514.30

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Solution

The fourth proportional to 39,096.64, 58,645.02 and 9,514.30 is: 14,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,096.64 : 58,645.02 = 9,514.30 : x
  2. Step 2: Convert to fraction form
    39,096.64/58,645.02 = 9,514.30/x
  3. Step 3: Cross multiply
    39,096.64x = 58,645.02 × 9,514.30
  4. Step 4: Simplify right side
    39,096.64x = 557,966,313.79
  5. Step 5: Solve for x
    x = 557,966,313.79/39,096.64
  6. Step 6: Final answer
    x = 14,271.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.